theories:speculative_theories:conformal_field_theory
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theories:speculative_theories:conformal_field_theory [2018/01/02 14:13] jakobadmin ↷ Page moved from theories:quantum_theory:quantum_field_theory:conformal_field_theory to theories:conformal_field_theory |
theories:speculative_theories:conformal_field_theory [2019/06/10 10:25] (current) jakobadmin [Why is it interesting?] |
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| ====== Conformal Field Theory ====== | ====== Conformal Field Theory ====== | ||
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| + | <tabbox Intuitive> | ||
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| + | Conformal field theory is either a classical field theory or quantum field theory with only massless particles. In such theories, there is no mass scale and hence the theory is scale invariant, which means it looks the same no matter from how far away we look at it. | ||
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| + | <tabbox Concrete> | ||
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| + | <note tip> | ||
| + | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | ||
| + | </note> | ||
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| + | <tabbox Abstract> | ||
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| + | <note tip> | ||
| + | The motto in this section is: //the higher the level of abstraction, the better//. | ||
| + | </note> | ||
| <tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
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| + | <blockquote>The modern way of understanding relativistic quantum field theories (QFTs) is through renormalization group flows away from conformal field theories (CFTs). In the parameter space of all QFTs, CFTs arise as fixed points with enhanced scale and conformal symmetry. The very ambitions programme of understanding all QFTs thus is intimately related to the classification of all consistent CFTs.<cite>https://iopscience.iop.org/article/10.1088/1361-6382/aa8003/pdf</cite></blockquote> | ||
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| <blockquote> | <blockquote> | ||
| It is an old idea in particle physics that, in some sense, at sufficiently high energies the masses of the elementary particles should become unimportant. In recent years this somewhat vague hope has acquired a more definite form in the theory of scale transformations, or dilatations. | It is an old idea in particle physics that, in some sense, at sufficiently high energies the masses of the elementary particles should become unimportant. In recent years this somewhat vague hope has acquired a more definite form in the theory of scale transformations, or dilatations. | ||
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| See also: https://www.quantamagazine.org/using-the-bootstrap-physicists-uncover-geometry-of-theory-space-20170223 and [[advanced_notions:critical_exponent|Critical Exponents]] | See also: https://www.quantamagazine.org/using-the-bootstrap-physicists-uncover-geometry-of-theory-space-20170223 and [[advanced_notions:critical_exponent|Critical Exponents]] | ||
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| - | <tabbox Layman> | ||
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| - | <note tip> | ||
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | ||
| - | </note> | ||
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| - | <tabbox Student> | ||
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| - | <note tip> | ||
| - | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | ||
| - | </note> | ||
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| - | <tabbox Researcher> | ||
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| - | <note tip> | ||
| - | The motto in this section is: //the higher the level of abstraction, the better//. | ||
| - | </note> | ||
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| - | --> Common Question 1# | ||
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| - | <-- | ||
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| - | --> Common Question 2# | ||
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| - | <tabbox Examples> | ||
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| - | --> Example1# | ||
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| - | --> Example2:# | ||
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| - | <-- | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
theories/speculative_theories/conformal_field_theory.1514898830.txt.gz · Last modified: 2018/01/02 13:13 (external edit)
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